Electronic Resource

A course on mathematical logic

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This is a short, modern, and motivated introduction to mathematical logic for upper undergraduate and beginning graduate students in mathematics and computer science. Any mathematician who is interested in getting acquainted with logic and would like to learn Gödel’s incompleteness theorems should find this book particularly useful. The treatment is thoroughly mathematical and prepares students to branch out in several areas of mathematics related to foundations and computability, such as logic, axiomatic set theory, model theory, recursion theory, and computability.

In this new edition, many small and large changes have been made throughout the text. The main purpose of this new edition is to provide a healthy first introduction to model theory, which is a very important branch of logic. Topics in the new chapter include ultraproduct of models, elimination of quantifiers, types, applications of types to model theory, and applications to algebra, number theory and geometry. Some proofs, such as the proof of the very important completeness theorem, have been completely rewritten in a more clear and concise manner. The new edition also introduces new topics, such as the notion of elementary class of structures, elementary diagrams, partial elementary maps, homogeneous structures, definability, and many more.

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Ketersediaan

Informasi Detail

Judul Seri

Universitext

No. Panggil

E514

Penerbit

New York : Springer New York., 2013

Deskripsi Fisik

xii, 198hlm.

Bahasa

English

ISBN/ISSN

9781461457466

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

computer

Tipe Pembawa

online resource

Edisi

2

Subjek

Matematika
Ilmu Komputer
Logika Matematika

Info Detail Spesifik

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Pernyataan Tanggungjawab

Shashi Mohan Srivastava

Versi lain/terkait

Lampiran Berkas

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